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2230121322 = 235111332089
BaseRepresentation
bin1000010011101100…
…1111001101101010
312202102100220100000
42010323033031222
514031402340242
61005143123430
7106156501302
oct20473171552
95672326300
102230121322
11a44933180
12522a43576
13297049920
1417227c602
15d0bbba4c
hex84ecf36a

2230121322 has 96 divisors (see below), whose sum is σ = 5887103040. Its totient is φ = 623790720.

The previous prime is 2230121297. The next prime is 2230121347. The reversal of 2230121322 is 2231210322.

2230121322 is a `hidden beast` number, since 22 + 301 + 21 + 322 = 666.

It is an interprime number because it is at equal distance from previous prime (2230121297) and next prime (2230121347).

It is a super-2 number, since 2×22301213222 = 9946882221678055368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2230121295 and 2230121304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53454 + ... + 85542.

It is an arithmetic number, because the mean of its divisors is an integer number (61323990).

Almost surely, 22230121322 is an apocalyptic number.

2230121322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2230121322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2943551520).

2230121322 is an abundant number, since it is smaller than the sum of its proper divisors (3656981718).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2230121322 is a wasteful number, since it uses less digits than its factorization.

2230121322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32130 (or 32118 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2230121322 is about 47224.1603631023. The cubic root of 2230121322 is about 1306.5002484706.

Adding to 2230121322 its reverse (2231210322), we get a palindrome (4461331644).

The spelling of 2230121322 in words is "two billion, two hundred thirty million, one hundred twenty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 81 99 117 143 162 198 234 243 286 297 351 429 486 594 702 858 891 1053 1287 1782 2106 2574 2673 3159 3861 5346 6318 7722 11583 23166 32089 34749 64178 69498 96267 192534 288801 352979 417157 577602 705958 834314 866403 1058937 1251471 1732806 2117874 2502942 2599209 3176811 3754413 4588727 5198418 6353622 7508826 7797627 9177454 9530433 11263239 13766181 15595254 19060866 22526478 27532362 28591299 33789717 41298543 57182598 67579434 82597086 85773897 101369151 123895629 171547794 202738302 247791258 371686887 743373774 1115060661 2230121322